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arXiv · 2608.08186

Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation

Guohuan Qiu
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Abstract

For each phase $\Theta\in(\pi/2,\pi)$, we construct a smooth, bounded, uniformly convex domain in $\mathbb R^3$ for which the zero-Dirichlet solution of the special Lagrangian equation has a nonconvex negative sublevel set.

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Guohuan Qiu. 2026-08-08. Nonconvex Sublevel Sets for the Three-Dimensional Special Lagrangian Equation. https://arxiv.org/abs/2608.08186

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